Congruence and Similarityof Triangle
Two figures are said to be congruent if they have the same shape and size.
Two figures having the same shape (and not necessarily the same size) are called similar figures.
All congruent figures are similar but the similar figures need not be congruent.
Two triangles are similar, if
- Their corresponding angles are equal
- Their corresponding sides are in the same ratio (or proportion).
The symbol ‘⁓’ stands for ‘is similar to’. The symbol ‘≅’ stands for ‘is congruent to’.
Two triangles are congruent if the sides and angles of one triangle are equal to the corresponding sides and angles of the other triangle. Congruence of Triangles is proved using various rules.
- Note: It is necessary to correctly write the correspondence of vertices to write the congruence of triangles in symbolic form.
Side Side Side
Side-Side-Side or SSS is a fundamental rule in congruency of triangles. If the three sides of a triangle are equal to the corresponding three sides of any other triangle, then the two triangles are called congruent.
Table of Content
- Definition of SSS
- Congruence and Similarityof Triangle
- What is SSS Congruence Rule?
- SSS Congruence Rule Proof
- SSS Similarity Condition
- SSS Similarity Formula
- How to Apply SSS Congruence Rule?